## Faman39 3 years ago The volume of a cube is 144 cubic meters. What is the volume of the square based pyramid with the same side length and height? 16 m3 48 m3 432 m3 1, 296 m3

1. Faman39

@baldymcgee6 can you able to help me ?

2. baldymcgee6

What is the formula for the volume of a cube?

3. Faman39

ah, 1/2 ?

4. baldymcgee6

The volume of a cube is: V = s^3

5. Faman39

last one, right?

6. Faman39

No, i think i m wrong

7. baldymcgee6

you are wrong.. :) v = s^3 144 = s^3 s = cbrt(144) V_pyramid = (area of base)(height)*(1/3)

8. Faman39

So you think it is third one ?

9. baldymcgee6

nope..

10. Faman39

So... i dont really get this one

11. baldymcgee6

that's okay.. i will draw it up for you

12. ghazi

|dw:1351376778451:dw| does that help fatima? @Faman39

13. Faman39

No :(

14. ghazi

oops wait|dw:1351376998205:dw|

15. ghazi

this is what your question says

16. Faman39

cube but i just dont understand how will i find the answer of the question

17. baldymcgee6
18. ghazi

volume of pyramid = 1/3*breadth*breadth*height breadth and height are same in this case and is equal to--- since side cube = 144 x^3=144 x=5.24

19. ghazi

now you can do it

20. ghazi

volume = 0.333*5.24*5.24*52.4 since it's a cube so breadth= height

21. ghazi

@Faman39 now?

22. Faman39

You divide the 144 with 3, right?

23. ghazi

it will be 47.923 = 48

24. ghazi

no, i found side of cube by this formula $(side)^3=144----side=\sqrt[3]{144}$

25. ghazi

and volume of pyramid here, $V=\frac{ 1 }{ 3 }*side*side*height$ and side=height (given) and 1/3=0.3333

26. ghazi

clear? @Faman39

27. Faman39

Much more :)

28. ghazi

cool :)

29. Faman39

Thank you so much @ghazi ! :)

30. ghazi

:) YW :)

31. Faman39

Thank you everyone coming here for help

32. baldymcgee6

@Faman39 you asked for my help and I explained it to you and drew you a picture...

33. ghazi

@baldymcgee6 should be thanked :)

34. Faman39

Yeah, you helped me too @baldymcgee6 ! :)

35. Faman39

Thank you so much @baldymcgee6 ! :)

36. Faman39

You all are truly amazing guys :) love you all

37. ghazi

mention not :)

38. Faman39

thanks again all of you :)